Lemma 5.4 ([1]})
 Define random vector \( \gamma _{k}=\left( \gamma _{kj} \right)^{\prime } = \left( \sqrt{n}\cdot \dfrac{\lambda _{j}-\phi _{n}\left(\alpha _{k} \right) }{\phi _{n}\left(\alpha _{k} \right)}, j\in J_{k} \right)^{\prime }\)  , where \( \phi _{n}\left( \alpha _{k}\right) \)  has the same form as \( \phi _{k} \)  but with \( c_{n},H_{n} \)  instead of \( c,H \) . Then random vector \( \gamma _{k} \)  converges weakly to the joint distribution of \( m_{k} \)  eigenvalues of Gaussian random matrix
\( -\dfrac{1}{\theta _{k}}\left[{\bf \Omega }_{\phi _{k}} \right]_{kk} \) 
